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Finding the Fourth Proportional to 10,216.64, 15,321.72 and 3,976.24

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Solution

The fourth proportional to 10,216.64, 15,321.72 and 3,976.24 is: 5,963.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,216.64 : 15,321.72 = 3,976.24 : x
  2. Step 2: Convert to fraction form
    10,216.64/15,321.72 = 3,976.24/x
  3. Step 3: Cross multiply
    10,216.64x = 15,321.72 × 3,976.24
  4. Step 4: Simplify right side
    10,216.64x = 60,922,835.93
  5. Step 5: Solve for x
    x = 60,922,835.93/10,216.64
  6. Step 6: Final answer
    x = 5,963.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.